(10+i)-(3-5i)=0

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Solution for (10+i)-(3-5i)=0 equation:


Simplifying
(10 + i) + -1(3 + -5i) = 0

Remove parenthesis around (10 + i)
10 + i + -1(3 + -5i) = 0
10 + i + (3 * -1 + -5i * -1) = 0
10 + i + (-3 + 5i) = 0

Reorder the terms:
10 + -3 + i + 5i = 0

Combine like terms: 10 + -3 = 7
7 + i + 5i = 0

Combine like terms: i + 5i = 6i
7 + 6i = 0

Solving
7 + 6i = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 6i = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 6i = 0 + -7
6i = 0 + -7

Combine like terms: 0 + -7 = -7
6i = -7

Divide each side by '6'.
i = -1.166666667

Simplifying
i = -1.166666667

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